34045318530 has 96 divisors (see below), whose sum is σ = 93233125440. Its totient is φ = 8595711360.

The previous prime is 34045318487. The next prime is 34045318627. The reversal of 34045318530 is 3581354043.

34045318530 is a `hidden beast` number, since 3 + 40 + 4 + 531 + 85 + 3 + 0 = 666.

It is a super-2 number, since 2×34045318530² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368785 + ... + 3378875.

It is an arithmetic number, because the mean of its divisors is an integer number (971178390).

Almost surely, 2^34045318530 is an apocalyptic number.

34045318530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34045318530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46616562720).

34045318530 is an abundant number, since it is smaller than the sum of its proper divisors (59187806910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34045318530 is a wasteful number, since it uses less digits than its factorization.

34045318530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34045318530 in words is "thirty-four billion, forty-five million, three hundred eighteen thousand, five hundred thirty".